My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
March 14th, 2009, 08:42 PM   #1
Joined: Feb 2009

Posts: 76
Thanks: 0

level surfaces of function

How do you describe the level surface of this function
f(x,y,z) = x^(2) + 3y^(2)+ 5z^(2)

This seems like a family of ellipsoids but I really dont know for sure.
remeday86 is offline  
March 14th, 2009, 11:50 PM   #2
Senior Member
Joined: Feb 2009
From: Adelaide, Australia

Posts: 1,519
Thanks: 3

Re: level surfaces of function

That's correct. Rearranging, it looks like this:

When c is positive, this level surface is an ellipsoid.
aswoods is offline  

  My Math Forum > College Math Forum > Calculus

function, level, surfaces

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Ruled Surfaces bigli Real Analysis 1 July 19th, 2013 05:27 PM
Riemann surfaces johng23 Complex Analysis 0 March 9th, 2013 05:41 AM
Quadric Surfaces aaron-math Calculus 6 February 12th, 2012 07:19 PM
Cylinders And Quadric Surfaces aaron-math Calculus 0 February 12th, 2012 06:37 PM
Quadratic surfaces remeday86 Calculus 1 February 17th, 2009 04:40 AM

Copyright © 2019 My Math Forum. All rights reserved.